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Finding the Third Proportional to 853,221 and 1,843,278

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Solution

The third proportional to 853,221 and 1,843,278 is: 3,982,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,221 : 1,843,278 = 1,843,278 : x
  2. Step 2: Convert to fraction form
    853,221/1,843,278 = 1,843,278/x
  3. Step 3: Cross multiply
    853,221x = 1,843,278 × 1,843,278
  4. Step 4: Simplify right side
    853,221x = 3,397,673,785,284
  5. Step 5: Solve for x
    x = 3,397,673,785,284/853,221
  6. Step 6: Final answer
    x = 3,982,173.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.